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Simplifying 3q2 + -1q + -140 = 0 Reorder the terms: -140 + -1q + 3q2 = 0 Solving -140 + -1q + 3q2 = 0 Solving for variable 'q'. Factor a trinomial. (-20 + -3q)(7 + -1q) = 0Subproblem 1
Set the factor '(-20 + -3q)' equal to zero and attempt to solve: Simplifying -20 + -3q = 0 Solving -20 + -3q = 0 Move all terms containing q to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3q = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3q = 0 + 20 -3q = 0 + 20 Combine like terms: 0 + 20 = 20 -3q = 20 Divide each side by '-3'. q = -6.666666667 Simplifying q = -6.666666667Subproblem 2
Set the factor '(7 + -1q)' equal to zero and attempt to solve: Simplifying 7 + -1q = 0 Solving 7 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 0 + -7 -1q = 0 + -7 Combine like terms: 0 + -7 = -7 -1q = -7 Divide each side by '-1'. q = 7 Simplifying q = 7Solution
q = {-6.666666667, 7}
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